Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Chapter 10, Problem 10.8P
To determine
To design: An L-section matching network.
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A 15.9 microfarad capacitor and a 15.1 mh inductor are connected in parallel. In series with these units are a variable resistor R and an adjustable device X, joined in series.
(a) Determine the kind and size of device X (inductance in henrys or capacitance in microfarad) when the circuit is connected to a 50-volt 400-cycle source and is adjusted to resonance.
(b) For the resonant condition calculate the value of R if the voltage drop across the paralleled units is to be 100 volts.
Identify all the TRUE statements below.
A) At resonance, there is no net voltage drop across all the reactive elements of the circuits.
B) To minimize the impact of capacitance in an AC series circuit, set its value close to zero.
C) To minimize the impact of inductance in an AC series circuit, set its value close to zero.
D) At resonance, Xc and XL are always zero.
E) At resonance, power is maximized and phase shift is zero.
F) At resonance, X = XL.
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G) At resonance net reactance is zero.
H) Capacitance is the measure of how difficult it is to store charge for a given voltage. The higher the capacitance, the more
voltage it takes to store charge on it.
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A 15.9 uF capacitor and a 15.1 mH inductor are connected in parallel. In series with these units are a variable resistor R and an adjustable reactive device X, joined in series. (a) Determine the kind and size of device X (inductance in Henrys or capacitance in uF) when the circuit is connected to a 50 volt 200 cps source and is adjusted to resonance. (b) For the resonant condition, calculate the value of R if the voltage drop across the paralleled units is to be 100 volts
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Chapter 10 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 10 - A matching network consists of a length of a...Ch. 10 - Design an L-section matching network to match a...Ch. 10 - Design an L-section matching network to match an...Ch. 10 - Design an L-section matching network to match a...Ch. 10 - Suppose you want to match a 100 line to a load...Ch. 10 - Prob. 10.7PCh. 10 - Prob. 10.8PCh. 10 - Prob. 10.9PCh. 10 - Prob. 10.10PCh. 10 - Suppose the L-section matching network of Example...
Ch. 10 - Find the scattering matrices for the simple...Ch. 10 - Cut a 50- T-line and insert a series 50- resistor...Ch. 10 - Prob. 10.14PCh. 10 - A series capacitor of value C=2.0pF is inserted in...Ch. 10 - A series inductor of value L=3.5nH is inserted in...Ch. 10 - Prob. 10.17PCh. 10 - The scattering matrix (assuming a 50- impedance...Ch. 10 - Three T-lines with the same characteristic...Ch. 10 - Consider a three-port network that is matched at...Ch. 10 - Prob. 10.21PCh. 10 - Calculate the insertion loss and the VSWR for the...Ch. 10 - Prob. 10.23PCh. 10 - Verify the scattering matrix (10.27) for the...Ch. 10 - Prob. 10.25PCh. 10 - Prob. 10.26PCh. 10 - A four-port 20-dB coupler is specified as having...Ch. 10 - Suppose the coupling for an ideal symmetrical...Ch. 10 - Suppose to port 1 of an ideal ring hybrid coupler...Ch. 10 - Prob. 10.30PCh. 10 - Prob. 10.31PCh. 10 - Prob. 10.32PCh. 10 - Suppose you join a pair of quadrature hybrid...Ch. 10 - Prob. 10.34PCh. 10 - Prob. 10.35PCh. 10 - Prob. 10.36PCh. 10 - Prob. 10.37PCh. 10 - Prob. 10.38PCh. 10 - Prob. 10.39PCh. 10 - Prob. 10.40PCh. 10 - Starting with the Figure 10.28b circuit...Ch. 10 - Starting with the Figure lO.28b circuit...Ch. 10 - Prob. 10.43PCh. 10 - Starting with the Figure 10.28a circuit...Ch. 10 - Prob. 10.45PCh. 10 - For Problem 10.45, (a) design open-ended shunt...Ch. 10 - Prob. 10.47PCh. 10 - Prob. 10.48PCh. 10 - Prob. 10.49PCh. 10 - Prob. 10.50PCh. 10 - Prob. 10.51PCh. 10 - Referring to Example 10.21 and Figure 10.48,...
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